3 papers
math.RA2025
The Plesken Lie algebra for associative algebras with anti-involution: semisimple cellular algebras
Thorsten Holm, Nils Wirries
Cohen and Taylor, following an idea of Plesken, introduced a Lie algebra to the complex group algebra of a finite group and determined its structure, based on the character theory…
math.CO2024
Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing
Michael Cuntz, Thorsten Holm, Peter Jorgensen
This paper studies a non-commutative generalisation of Coxeter friezes due to Berenstein and Retakh. It generalises several earlier results to this situation: A formula for frieze…
math.CO2024
Noncommutative frieze patterns with coefficients
Michael Cuntz, Thorsten Holm, Peter Jorgensen
Based on Berenstein and Retakh's notion of noncommutative polygons we introduce and study noncommutative frieze patterns. We generalize several notions and fundamental properties f…